Answer:
x = 4
, y = 2
Step-by-step explanation by elimination:
Solve the following system:
{2 x + 3 y = 14 | (equation 1)
x + 5 y = 14 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 3 y = 14 | (equation 1)
0 x+(7 y)/2 = 7 | (equation 2)
Multiply equation 2 by 2/7:
{2 x + 3 y = 14 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 4
, y = 2
Answer:
there are 97 + 47 + 77 = 221 creatures from Earth in the alien spaceship.
the probability that a human being is chosen at random = 77 / 221 = 0.3484 = 34.84%
the probability that a chicken is chosen at random = 97 / 221 = 0.4389 = 43.89%
the probability of choosing a cow at random = 100% - 34.84% - 43.89% = 21.27%
If about 20% of British children are deficient in vitamin and doctors test a group of elementary school children, the probability that the first vitamin d-deficient child is the 8th one tested is 4.19% determined using geometric distribution formula.
In probability and statistics, geometric distribution refers to the probability that first success would occurs after n number of trials and is given by:
P(X)=q^(x-1)p
Where p is the probability of success and q is (1-p)
In this case,
p=probability of children deficient in vitamin= 0.2
q= probability of children not deficient in vitamin= 0.8
Hence,
P(8)=0.8^(8-1)*0.2= 0.0419
Hence, the probability that 8th child is deficient is 4.19%
Learn more about geometric distribution:
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Answer:
Step-by-step explanation:
A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...
(1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal
Samantha made 4 gallons of punch.
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1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...
(1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal
Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.
